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Finding the Fourth Proportional to 119,311.50, 178,968.33 and 36,205.50

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Solution

The fourth proportional to 119,311.50, 178,968.33 and 36,205.50 is: 54,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.50 : 178,968.33 = 36,205.50 : x
  2. Step 2: Convert to fraction form
    119,311.50/178,968.33 = 36,205.50/x
  3. Step 3: Cross multiply
    119,311.50x = 178,968.33 × 36,205.50
  4. Step 4: Simplify right side
    119,311.50x = 6,479,637,871.82
  5. Step 5: Solve for x
    x = 6,479,637,871.82/119,311.50
  6. Step 6: Final answer
    x = 54,308.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.